Answer:
d ≈ 10.5
Step-by-step explanation:
The formula for the diagonal of a retangular prism (cuboid) is
1.) Plug in all the values for l, w, and h
2.) simplify by squaring the terms inside the square root
5 * 5 = 25
6 * 6 = 36
7 * 7 = 49
3.) Add the terms
4.) Simplify
5.) Round to one decimal place
d ≈ 10.5
Answer:
Step 2, he didn't add the values he completed the square with to both sides.
Step-by-step explanation:
When you complete the square, you need to add the values to both sides, not just one.
So when Homer added 49 + 1 or 50 to the left side of the equation, he should've also added 50 to the right side of the equation.
Hence, the equation would now be :
(x-7)^2 + (y+1)^2 = 75
Angles three and four are a linear pair, meaning that they they form a line. When two angles make a line, the measures add up to 180°. Adding the two values together, we see that 3x+27x=180. Simplifying and solving for x, we get 30x=180 ⇒ x=6.
The question, however, is asking for the measure of angle 4. Thus, we plug x=6 into 7x to get 6(7)=42.
Hope this helped!
Answer:
$45.50
Step-by-step explanation:
1. $65.00 ÷ 100 = 0.65
2. 0.65 x 30 = $19.50
3. $65.00 - $19.50 = $45.50
